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Finding the Fourth Proportional to 6,559.45, 9,052.26 and 3,906.50

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Solution

The fourth proportional to 6,559.45, 9,052.26 and 3,906.50 is: 5,391.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.45 : 9,052.26 = 3,906.50 : x
  2. Step 2: Convert to fraction form
    6,559.45/9,052.26 = 3,906.50/x
  3. Step 3: Cross multiply
    6,559.45x = 9,052.26 × 3,906.50
  4. Step 4: Simplify right side
    6,559.45x = 35,362,593.78
  5. Step 5: Solve for x
    x = 35,362,593.78/6,559.45
  6. Step 6: Final answer
    x = 5,391.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.